Download Geometry Test Chapter 1 - Granite Bay High School / Granite Bay

Geometry Chapter 2
Pre Test
Name________________________
Date__________Per_____
1.
What conjecture can be made if John is older than Mark,
Sue is older than John, and Betty is younger than Sue?
a. John is younger than Betty.
b. Sue is the oldest.
c. Mark is the youngest.
d. None of these.
2.
What is the next letter in the sequence?
a. Q
b. P
c. O
3.
b.
Converse
c.
Inverse
d.
Contrapositive
If-then
b.
Converse
c.
Inverse
d.
Contrapositive
If-then
b.
Converse
c.
Inverse
d.
Contrapositive
If-then
b.
Converse
c.
Inverse
d.
Contrapositive
Make a valid conclusion for the following situation.
If you save $30, you can buy a CD player.
You have saved $30.
a.
b.
c.
d.
9.
If-then
For the statement "Soccer players are athletes.", match each statement with
the appropriate form.
7. ______
If you are a soccer player, then you are an athlete.
a.
8.
the measure of angle B
≠ 90 ˚, then angle B is a not a right angle.
the measure of angle B = 90 ˚, then angle B is not a right angle.
angle B is not a right angle, then the measure of angle B ≠ 90 ˚.
angle B is a right angle, then the measure of angle B = 90 ˚.
For the statement "Soccer players are athletes.", match each statement with the
appropriate form.
6. ______
If you are not a soccer player, then you are not an athlete.
a.
7.
3. ______
For the statement "Soccer players are athletes.", match each statement with the
appropriate form.
5. ______
If you are an athlete, then you are a soccer player.
a.
6.
If
If
If
If
2. ______
For the statement "Soccer players are athletes.", match each statement with the
appropriate form.
4. ______
If you are not an athlete, then you are not a soccer player.
a.
5.
A, B, D, G, K, . . .
d. N
What is the converse of the given statement?
If angle B = 90 ˚, then angle B is a right angle.
a.
b.
c.
d.
4.
1. ______
You
You
You
The
8. ______
cannot but the CD player.
must buy the CD player.
have enough money to buy the CD player.
CD player is too expensive.
What conclusion can you reach?
If 6x = 30, then x = 5.
9. ______
If x = 5, then 2x = 10.
a.
If x = 5 then 3x = 15
b.
If 6x = 30 and 2x = 10, then x = 5
c.
If 6x = 30, then 2x = 10
d.
If 2x = 10, then 6x = 30
10.
Which is a counterexample for the following conjecture?
Conjecture:
a.
c.
11.
14.
15.
Square
Trapezoid
5 x 5 = 25
5 x -3 = -15
b.
d.
-6 x -3 = 18
1 x 1 = 1
3x + 2 - 2 = 5x + 4 - 2
12. ______
x
 2  5x  2
2
Which property applies to the following situation?
a. Addition Property of Equality
b. Subtraction Property of Equality
c. Multiplication Property of Equality
d. Division Property of Equality
Which property applies to the given situation?
a. Square Root
b. Multiplication Property of Equality
c. Division Property of Equality
d. Distributive Property
13. ______
5x + 10 = 5(x + 2)
14. ______
What kind of angle is angle 1?
a. vertical
b. right
obtuse
d.
15. ______
acute
Using the figure above, what kind of angles are angles 2 and 3.
a.
17.
Triangle
Rhombus
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
c.
16.
b.
d.
Which property applies to the following situation?
a.
b.
c.
d.
13.
All quadrilaterals are equilateral.
Which is a counterexample for the following conjecture?
11. ______
If the product of two numbers is positive, then the two numbers must be positive.
a.
c.
12.
10. ______
vertical
b.
right
c.
obtuse
d.
acute
Using the figure above, which pair of angles are NOT a linear pair.
a.
2 and 4
b.
3 and 4
c.
16. ______
17. ______
1 and 2
18.
Identify the property of congruence.
a. Substitution Property of Equality
b. Symmetric Property of Congruence
c. Reflexive Property of Congruence
d. Transitive Property of Congruence
.
19.
Use the Law of Syllogism to draw a conclusion from the two given statements.
If a number is a multiple of 64, then it is a multiple of 8.
If a number is a multiple of 8, then it is a multiple of 2.
19. ______
a. If a number is not a multiple of 2, then the number is not a
multiple of 64.
b. If a number is a multiple of 64, then it is a multiple of 2.
c. The number is a multiple of 8.
d. The number is a multiple of 2.
18. ______
20.
Complete the proof by matching question items with answer items.
A.
B.
C.
D.
E.
F.
G.
H.
I.
J.
K.
L.
21.
Reason
Reason
Reason
Reason
Reason
Reason
Reason
Reason
Reflexive E
Substitution
Given
Angle Addition Postulate
Definition of Right Angle
Definition of Bisect
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
Distributive Property
Definition of Linear Pair
1
2
3
4
5
6
7
8
_______
_______
_______
_______
_______
_______
_______
_______
Write the following definition as two conditionals.
A quadrilateral is a square if and only if it has 4 right angles and 4 = sides.
_______________________________________________________________________________
_______________________________________________________________________________
22.
Find the slope, distance and midpoint of AB.
A(2,5)
B( -3, 1)
22. s=_____
d=_____
mid=_____
23.
Fill in each missing reason:
Given:
Prove x = 56.
P
,
R
, and
Statement
.
x – 1 + x – 11 = 100
2x – 12 = 100
2x = 112
x = 56
Q
S
Drawing not to scale
24.
Identify the reason for the step:
Given
bisects
?
25.
Identify the reason for the step:
AB + BC = AC
Segment Addition Postulate
AB = 10; AC = 30
Given
10 + BC = 30
?
Justification
a. _____
b. Substitution Property
c. Simplify
d. _____
e. Division Property of
Equality
26.
Identify the reason for the step:
10 + BC = 30
Given
BC = 20
?
27.
Given:
Prove:
6x - 15 = 17 - 2x
x = 4
Work:
Statements
1. 6x -15 = 17 – 2x
2. 6x = 32 – 2x
3. 8x = 32
4. x = 4
28.
Justifications
1
2.
3.
4.
Provide the reasons for statements 3 and 5 in the proof.
Given:
form a linear pair;
Prove:
29. Fill in the reason for each mini proof.
m1  m2  m3  m2
Given
?
30. Fill in the reason for each mini proof.
AB  BD
ABD is a right angle
mABD  90o
Given
?
?
31. Use the picture to the right to solve for x.
2x+10
6x-30
Answers:
1. B 2. B 3. D 4. D 5. B 6. C 7. A 8. C 9. C 10. C 11. B 12. B 13. C 14. D 15. B 16. A 17. C 18. C 19. B
20. C,E,D,B,F,B,K,J 21. If a quad is a square, then it has 4 right angles and 4 = sides. If a quad has 4 right
angles and 4 = sides, then it is a square. 22. s=4/5, d=6.403 mid=(-.5,3) 23. a. Angle Addition Postulate d.
Addition POE 24. Def of angle bisector 25. Subst Prop 26. Subt Prop 27. given, Add POE, Add POE, Div POE
28. Def of Linear Pair, Subt Prop 29. Add POE 30. Def of Perpendicular, Def of right angle 31. x=10